Jmiller78 said:
OK from what I understand the temperature controller comes in 3 types, they are all function wise the same the only difference is in the relay inside and how much voltage/current can it switch.
There is just one problem here. The XH-3001 you seem to have is meant to be powered by DC of either 12 or 24 volts, but the duct vent you have has a motor that powers from 24 Volts AC.
You need to open the back cover of your white temp controller and see , ideally check with a multimeter whether the input (red black) wires are electrically connected to either of the yellow and black wires , because if they are as in the videos I just saw then that means your temp controller output is DC not AC and that is a pain.
It's easy to get AC to DC but not so easy to get AC from DC.
Your duct seems to operate by a 24 VAC motor where probably the 24v input means the duct opens fully and any less input means the duct opens half way or so. But the input has to be AC it seems.
That duct I think works similarly to a electrically controlled car throttle valve where the car ECU sends PWM to it to control how much it opens.
If you had some electronics skills you could in theory separate the temp controller input power from the relay and use the relay simply as a switch instead of a switch that already has power coming out of it.
The way it stands now it seems to me your out of luck. For these types of ducts you would need a temp controller that can take in 24v AC and control it's voltage.
If you had the 220v version as this guy in the video below, then you could just attach the output to your transformer primary and the temp controller would just switch your transformer on/off from the mains side whenever it wanted to engage or switch off the duct and then just wire the transformer secondary 24VAC to duct motor directly.
Here is another video about your controller
Tell me do you understand , and please report back about what kind of controller exactly you have, maybe ideally open the back cover and take photos inside, and if possible measure continuity with a tester of your controller input and output wires